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If 2 = 1.4 and 3 = 1.7, find the value of 2-33. - Mathematics

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Question

If `sqrt2` = 1.4 and `sqrt3` = 1.7, find the value of `(2 - sqrt3)/(sqrt3).`

Sum

Solution

`(2 - sqrt3)/(sqrt3)`

`= (2 - sqrt3)/(sqrt3) xx sqrt3/sqrt3`

`= ((2 - sqrt3) xx sqrt3)/(sqrt3 xx sqrt3)`

`= (2sqrt3 - 3)/3`

= `2/(√3) - (√3)/(√3)`

`= (2 xx 1.7 - 3)/3`

`= (3.4 - 3)/3`

`= 0.4/3`

= 0.1

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Simplifying an Expression by Rationalization of the Denominator
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Chapter 1: Rational and Irrational Numbers - Exercise 1 (C) [Page 22]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 13.3 | Page 22
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